The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
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Side 18
A 1 Because AF is equal to AG , and AB to AC , the two fides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is eb 4.
A 1 Because AF is equal to AG , and AB to AC , the two fides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is eb 4.
Side 19
I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the ...
I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the ...
Side 21
A D Because AD is equal to AE , and AF is common to the two triangles DAF , EAF ; the two fides DA , AF , are equal to the two fides EA , AF , each to each ; and the base DF is e- B qual to the bafe EF ; therefore the angle DAF is equal ...
A D Because AD is equal to AE , and AF is common to the two triangles DAF , EAF ; the two fides DA , AF , are equal to the two fides EA , AF , each to each ; and the base DF is e- B qual to the bafe EF ; therefore the angle DAF is equal ...
Side 22
Book I. Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; therefore the bafe AD is equal to the 4.
Book I. Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; therefore the bafe AD is equal to the 4.
Side 23
Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC are equal to the two GH , HC , each to each ; and the bafe CF is equal d to the bafe 15. Def CG ; therefore the angle CHF is equal e to the ...
Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC are equal to the two GH , HC , each to each ; and the bafe CF is equal d to the bafe 15. Def CG ; therefore the angle CHF is equal e to the ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole